We derive Kazdan–Warner type identities for the boundary problem of prescribing nonconstant interior (Formula presented.) curvature and boundary (Formula presented.) curvature on the upper hemisphere (Formula presented.) by a conformal change of the standard metric. Using the natural variational formulation and conformal variations generated by boundary-preserving conformal vector fields, we obtain nontrivial integral obstructions to solvability.
Kazdan–Warner obstructions for a fourth‐order boundary problem / Cruz‐blázquez, S., Delatorre, A.. - In: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6093. - 58:8(2026). [10.1112/blms.70461]
Kazdan–Warner obstructions for a fourth‐order boundary problem
DelaTorre, Azahara
2026
Abstract
We derive Kazdan–Warner type identities for the boundary problem of prescribing nonconstant interior (Formula presented.) curvature and boundary (Formula presented.) curvature on the upper hemisphere (Formula presented.) by a conformal change of the standard metric. Using the natural variational formulation and conformal variations generated by boundary-preserving conformal vector fields, we obtain nontrivial integral obstructions to solvability.| File | Dimensione | Formato | |
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